−4(6a − 5) can be expanded as follows:
−4(6a) + −4(-5)
= −24a + 20
Expand −4(6a − 5).(1 point)
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11 answers
Expand 7/4(8h+3).
To expand 7/4(8h+3), we distribute the 7/4 to each term inside the parentheses:
7/4(8h) + 7/4(3)
Multiplying the fractions, we have:
(7/4) * (8h) + (7/4) * (3)
Simplifying each term:
(56h/4) + (21/4)
Combining like terms, we have:
56h/4 + 21/4
Now, we can simplify by dividing both terms by 4:
(56h + 21)/4
7/4(8h) + 7/4(3)
Multiplying the fractions, we have:
(7/4) * (8h) + (7/4) * (3)
Simplifying each term:
(56h/4) + (21/4)
Combining like terms, we have:
56h/4 + 21/4
Now, we can simplify by dividing both terms by 4:
(56h + 21)/4
Expand −5/6(9b−12).
To expand −5/6(9b−12), we distribute the −5/6 to each term inside the parentheses:
−5/6(9b) + −5/6(−12)
Multiplying the fractions, we have:
(−5/6) * (9b) + (−5/6) * (−12)
Simplifying each term:
(−45b/6) + (60/6)
Combining like terms, we have:
(−45b + 60)/6
Now, we can simplify further if possible. In this case, we can divide both terms by 3:
(−15b + 20)/2
−5/6(9b) + −5/6(−12)
Multiplying the fractions, we have:
(−5/6) * (9b) + (−5/6) * (−12)
Simplifying each term:
(−45b/6) + (60/6)
Combining like terms, we have:
(−45b + 60)/6
Now, we can simplify further if possible. In this case, we can divide both terms by 3:
(−15b + 20)/2
Find the GCF of 20x − 4 .
To find the greatest common factor (GCF) of 20x − 4, we want to find the largest factor that divides both terms.
First, let's factor out any common factors from the two terms. The common factor here is 4, so we can write the expression as:
4(5x − 1)
Now, let's look at the remaining terms inside the parentheses. The GCF of 5x - 1 is 1, since there are no common factors other than 1.
Therefore, the GCF of 20x - 4 is 4.
First, let's factor out any common factors from the two terms. The common factor here is 4, so we can write the expression as:
4(5x − 1)
Now, let's look at the remaining terms inside the parentheses. The GCF of 5x - 1 is 1, since there are no common factors other than 1.
Therefore, the GCF of 20x - 4 is 4.
Find the GCF of 30m + 12n.(1 point
To find the greatest common factor (GCF) of 30m + 12n, we want to find the largest factor that divides both terms.
First, let's factor out any common factors from the two terms. Both terms are divisible by 6, so we can write the expression as:
6(5m + 2n)
Now, let's look at the remaining terms inside the parentheses. There are no common factors other than 1.
Therefore, the GCF of 30m + 12n is 6.
First, let's factor out any common factors from the two terms. Both terms are divisible by 6, so we can write the expression as:
6(5m + 2n)
Now, let's look at the remaining terms inside the parentheses. There are no common factors other than 1.
Therefore, the GCF of 30m + 12n is 6.
Factor 12y + 6 using the GCF.
To factor 12y + 6 using the greatest common factor (GCF), we first identify the common factors of both terms, which is 6.
Therefore, we can rewrite 12y + 6 as:
6(2y + 1)
The factored form of 12y + 6 using the GCF is 6(2y + 1).
Therefore, we can rewrite 12y + 6 as:
6(2y + 1)
The factored form of 12y + 6 using the GCF is 6(2y + 1).